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This volume contains nine survey articles based on the invited lectures given at the 25th British Combinatorial Conference, held at the University of Warwick in July 2015. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory, Ramsey theory, combinatorial geometry and curves over finite fields. Each article is clearly written and assumes little prior knowledge on the part of the reader. The authors are some of the world's foremost researchers in their fields, and here they summarise existing results and give a unique preview of cutting-edge developments. The book provides a valuable survey of the present state of knowledge in combinatorics, and will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.

Combinatorial analysis --- Graph theory

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Complex analysis --- Discrete mathematics --- Computer science --- Computer architecture. Operating systems --- Information systems --- Computer. Automation --- IR (information retrieval) --- discrete wiskunde --- complexe analyse (wiskunde) --- informatica --- computernetwerken

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This two-volume set of LNCS 7391 and LNCS 7392 constitutes the refereed proceedings of the 39th International Colloquium on Automata, Languages and Programming, ICALP 2012, held in Warwick, UK, in July 2012. The total of 123 revised full papers presented in this volume were carefully reviewed and selected from 432 submissions. They are organized in three tracks focussing on algorithms, complexity and games; logic, semantics, automata and theory of programming; and foundations of networked computation.

Engineering & Applied Sciences --- Computer Science --- Programming languages (Electronic computers) --- Computer programming --- Computer science. --- Computer communication systems. --- Computers. --- Algorithms. --- Computer science --- Information storage and retrieval. --- Computer Science. --- Algorithm Analysis and Problem Complexity. --- Computation by Abstract Devices. --- Computer Communication Networks. --- Information Storage and Retrieval. --- Information Systems Applications (incl. Internet). --- Discrete Mathematics in Computer Science. --- Mathematics. --- Computer software. --- Information storage and retrieva. --- Computational complexity. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Informatics --- Science --- Software, Computer --- Computer systems --- Information storage and retrieval systems. --- Application software. --- Computer science—Mathematics. --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Network computers --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Cybernetics --- Calculators --- Cyberspace --- Algorism --- Algebra --- Arithmetic --- Distributed processing --- Foundations --- Computer mathematics --- Mathematics --- Computer networks. --- Discrete mathematics. --- Theory of Computation. --- Computer and Information Systems Applications. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis --- Automatic data storage --- Automatic information retrieval --- Automation in documentation --- Computer-based information systems --- Data processing systems --- Data storage and retrieval systems --- Discovery systems, Information --- Information discovery systems --- Information processing systems --- Information retrieval systems --- Machine data storage and retrieval --- Mechanized information storage and retrieval systems --- Electronic information resources --- Data centers --- Digital libraries --- Information organization --- Information retrieval

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This two-volume set of LNCS 7391 and LNCS 7392 constitutes the refereed proceedings of the 39th International Colloquium on Automata, Languages and Programming, ICALP 2012, held in Warwick, UK, in July 2012. The total of 123 revised full papers presented in this volume were carefully reviewed and selected from 432 submissions. They are organized in three tracks focussing on algorithms, complexity and games; logic, semantics, automata and theory of programming; and foundations of networked computation.

Complex analysis --- Discrete mathematics --- Computer science --- Computer architecture. Operating systems --- Information systems --- Computer. Automation --- IR (information retrieval) --- discrete wiskunde --- complexe analyse (wiskunde) --- informatica --- computernetwerken